-2x^2+3=-33

Solution for -2x^2+3=-33 equation:

Simplifying
-2x2 + 3 = -33

Reorder the terms:
3 + -2x2 = -33

Solving
3 + -2x2 = -33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x2 = -33 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 = -33 + -3
-2x2 = -33 + -3

Combine like terms: -33 + -3 = -36
-2x2 = -36

Divide each side by '-2'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}